Mastering Limits: Using L’Hopital’S Rule To Evaluate The Limit Of (Cos(X) – 1)/X As X Approaches 0

lim as x->0 of cosx-1/x

0

To evaluate the limit as x approaches 0 of (cos(x) – 1)/x, we will use L’Hopital’s rule in the following way:

lim as x->0 of (cos(x) – 1)/x

= lim as x->0 of -(sin(x))/1

= 0/1

= 0

Therefore, the limit as x approaches 0 of (cos(x) – 1)/x is equal to 0.

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